Since the order of selection does not matter, we will use combinations to solve this problem.
We are to form the combination of 30 objects taken 6 at a time. This can be expressed as 30C6.

This means the six teachers can be selected in 593775 ways.
So the correct answer is option A
Answer:
60
Step-by-step explanation:
-5(2×-6)
-5(-12)
60
It should be correct
My boiii, tiger algebra helped me out a little on this one, I got 7c * sqrt(5)
Option C: The solution set is 
Explanation:
The expression is 
Now, let us find the solution set.
Switch sides, we get,

Dividing by 2 on both sides, we have,

Thus,
Hence, the above expression becomes,

Simplifying, we get,

Applying the log rule, we get,

Simplifying, we have,

Applying the log rule, we have,

Thus, the solution set is 
Hence, Option C is the correct answer.
Answer:
Angle 1 = 80 (by definition)
Angle 3 = 180 - 80 = 100
Angle 4 + Angle 2 = 90
Also, Angle 2 = 40 (by definition)
So Anglee 4 = 50